We prove an optimal exponential lower bound on the width of the resonance associated to the first eigenvalue of the cavity for a general Helmholtz resonator with straight neck, in any dimension.

Duyckaerts, T., Grigis, A., Martinez, A.G. (2016). Resonance widths for general Helmholtz resonators with straight neck. DUKE MATHEMATICAL JOURNAL, 165(14), 2793-2810 [10.1215/00127094-3644795].

Resonance widths for general Helmholtz resonators with straight neck

GRIGIS, ALAIN;MARTINEZ, ANDRE' GEORGES
2016

Abstract

We prove an optimal exponential lower bound on the width of the resonance associated to the first eigenvalue of the cavity for a general Helmholtz resonator with straight neck, in any dimension.
2016
Duyckaerts, T., Grigis, A., Martinez, A.G. (2016). Resonance widths for general Helmholtz resonators with straight neck. DUKE MATHEMATICAL JOURNAL, 165(14), 2793-2810 [10.1215/00127094-3644795].
Duyckaerts, Thomas; Grigis, Alain; Martinez, ANDRE' GEORGES
File in questo prodotto:
File Dimensione Formato  
DuMa2016-165.pdf

accesso aperto

Tipo: Postprint
Licenza: Licenza per accesso libero gratuito
Dimensione 449.63 kB
Formato Adobe PDF
449.63 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/592078
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact